Heat-type equations on manifolds with fibered boundaries I
Schauder estimates
- verfasst von
- Bruno Caldeira, Giuseppe Gentile
- Abstract
In this paper, we prove parabolic Schauder estimates for the Laplace-Beltrami operator on a manifold M with fibered boundary and a Φ-metric gΦ. This setting generalizes the asymptotically conical (scattering) spaces and includes special cases of gravitational instantons. This paper, combined with part II, lay the crucial groundwork for forthcoming discussions on geometric flows in this setting; especially the Yamabe- and mean curvature flow.
- Organisationseinheit(en)
-
Institut für Differentialgeometrie
- Externe Organisation(en)
-
Universidade Federal de São Carlos (UFSCar)
- Typ
- Artikel
- Journal
- Annals of Global Analysis and Geometry
- Band
- 66
- ISSN
- 0232-704X
- Publikationsdatum
- 10.2024
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Analysis, Geometrie und Topologie
- Elektronische Version(en)
-
https://doi.org/10.1007/s10455-024-09970-z (Zugang:
Geschlossen)
